Continuum Mechanics and Thermodynamics最新文献_第6页

Hybrid discrete-to-continuum viscoelastic viscoplasticity by volume constraint 通过体积约束实现离散到连续的混合粘弹粘塑性

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-07-19 DOI: 10.1007/s00161-024-01313-4

E. C. Bryant, N. A. Miller, K. C. Bennett

{"title":"Hybrid discrete-to-continuum viscoelastic viscoplasticity by volume constraint","authors":"E. C. Bryant, N. A. Miller, K. C. Bennett","doi":"10.1007/s00161-024-01313-4","DOIUrl":"10.1007/s00161-024-01313-4","url":null,"abstract":"<div><p>Material modeling for micromorphic continua (in the sense of Eringen and Suhubi [IJES, 1964]) of combined viscoelastic-viscoplastic constitutive nonlinearity is developed, for application to some geomaterials and other granular materials, and is recast in a compact energetic formulation via “granular micromechanics.” Under the granular mechanics homogenization paradigm, potentials and pseudo-potentials for viscoelastic viscoplasticity are scale-bridged by averaging discrete grain-contact interactions over a representative granular assemblage. As a critical feature of the proposed multiscale method, higher-order kinematics are considerably simplified by employing a microstructural length scale in conjunction with Taylor-series expansion. In distinction to prior micromorphic micromechanics, our discrete-to-continuum scale-bridging embeds a volume constraint to weakly enforce mean-field definitions in the representative assemblage by the method of Lagrange multipliers: analogous to the classical three-field reformulation of a mixed interpolation space for nonlinear finite elements’ selective integration. As subsequently demonstrated, volume-constrained reformulation renders micromorphic modeling constitutively appropriate for viscoelastic viscoplastic particulate materials. As a consequence, coupled pressure- and rate-sensitive dissipative phenomena - i.e., of combined viscoelasticity and Drucker–Prager viscoplasticity– -become microstructurally sensitive and algorithmically advantageous, utilizing numerical methods in bound-constrained optimization.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 6","pages":"1527 - 1551"},"PeriodicalIF":1.9,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141726069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis of an initially stressed functionally graded thermoelastic medium (type III) without energy dissipation 无能量耗散的初始受压功能梯度热弹性介质（III 型）分析

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-07-16 DOI: 10.1007/s00161-024-01315-2

Praveen Ailawalia, Anchal Sharma, Marin Marin, Andreas Öchsner

引用次数: 0

Comparison of extended irreversible thermodynamics and nonequilibrium statistical operator method with thermodynamics based on a distribution containing the first-passage time 扩展不可逆热力学和非平衡统计算子法与基于包含第一通过时间的分布的热力学的比较

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-07-11 DOI: 10.1007/s00161-024-01311-6

V. V. Ryazanov

引用次数: 0

Technological support for the durability of metal-cutting tools by the formation of wear-resistant coatings using energy-efficient methods 利用节能方法形成耐磨涂层，为金属切削工具的耐用性提供技术支持

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-07-01 DOI: 10.1007/s00161-024-01312-5

Yao Ju, Ievgen Konoplianchenko, Mykhailo Dumanchuk, Jiafei Pu, Qi Dong, Zhengchuan Zhang

{"title":"Technological support for the durability of metal-cutting tools by the formation of wear-resistant coatings using energy-efficient methods","authors":"Yao Ju, Ievgen Konoplianchenko, Mykhailo Dumanchuk, Jiafei Pu, Qi Dong, Zhengchuan Zhang","doi":"10.1007/s00161-024-01312-5","DOIUrl":"10.1007/s00161-024-01312-5","url":null,"abstract":"<div><p>The purpose of this study was to evaluate the possibility of using mechanical spectroscopy to determine the strength of tool coatings from their lifespan. Mechanical spectroscopy with the determination of the index tan<span>(delta )</span> (internal friction) was used as the research method. Samples were coated with lamellae composed of WC-6wt% Co cemented carbides. The specimens measured 1.0 mm, 3.0 mm, and 40.0 mm, created using a conventional industrial liquid phase sintering procedure. The original powder consisted of cobalt with traces of chromium and vanadium, and submicron WC grains. The tools tested included carbide cutting tools, and the workpieces were steel alloys. Comparative results showed that coated tools had significantly improved tool life and durability. The relationship between the coating and tool life was evident, providing a practical approach for predictive and non-destructive analyses of coatings on tool durability for composite and finely structured materials.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 6","pages":"1515 - 1525"},"PeriodicalIF":1.9,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141489557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A general analytical approach to the thermoelastic analysis of asymmetric anisotropic nanoplate with polygonal holes 带多边形孔的非对称各向异性纳米板热弹性分析的一般分析方法

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-06-22 DOI: 10.1007/s00161-024-01309-0

Vahid Zeighami, Mohammad Jafari, Holm Altenbach

{"title":"A general analytical approach to the thermoelastic analysis of asymmetric anisotropic nanoplate with polygonal holes","authors":"Vahid Zeighami, Mohammad Jafari, Holm Altenbach","doi":"10.1007/s00161-024-01309-0","DOIUrl":"10.1007/s00161-024-01309-0","url":null,"abstract":"<div><p>The structural complexity of high-tech industries is often compromised by a combination of thermal, mechanical, and geometric weaknesses. New generation materials and engineering the structure of materials are among the techniques that engineers employ to eliminate these effects. In this study, a comprehensive analysis solution is derived using Lekhnitskii’s complex variable approach with the use of general mapping functions, the concept of functionally graded materials (FGMs), and holomorphic functions in the form of Laurent series. This general solution is used for the thermoelastic analysis of perforated functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates with polygonal hole. A refined-calibrated rule of mixtures is used to approximate the material property of FG-CNTRC plates according to gradational changes in direction of thickness and available molecular dynamics simulations results. After validation of present analytical solution results with finite element analysis results and available mechanical analysis of composite plates results, stress and moment resultants due to remoting heat flux-mechanical loading is studied. The effect of FG-CNTRC material properties, heat flux condition, and four parameters affecting the shape of the polygonal holes has been investigated. During the present parametric analysis, the results clearly show that the parameters related to the FG-CNTRC material properties, flux conditions, and hole geometry each provide a reliable tool for designers to influence the stress and moment resultants to minimize undesirable stresses. This general formulation is able to calculate thermoelastic parameters (thermal and mechanical parameters, separately) for the generalized problems of the FGM plate or composite laminates with a polygonal hole.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 6","pages":"1455 - 1480"},"PeriodicalIF":1.9,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141441497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the initial boundary values problem for a mixture of two Cosserat bodies with voids 关于带有空隙的两个科塞拉特体混合物的初始边界值问题

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-06-10 DOI: 10.1007/s00161-024-01310-7

Marin Marin, Andreas Öchsner, Sorin Vlase

引用次数: 0

A bone remodeling approach encoding the effect of damage and a diffusive bio-mechanical stimulus 编码损伤效应和扩散性生物机械刺激的骨重塑方法

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-05-25 DOI: 10.1007/s00161-024-01308-1

Daniela Addessi, Francesco D’Annibale, Luca Placidi, Ivan Giorgio

{"title":"A bone remodeling approach encoding the effect of damage and a diffusive bio-mechanical stimulus","authors":"Daniela Addessi, Francesco D’Annibale, Luca Placidi, Ivan Giorgio","doi":"10.1007/s00161-024-01308-1","DOIUrl":"10.1007/s00161-024-01308-1","url":null,"abstract":"<div><p>The paper focuses on the effect of damage on the bone remodeling process. This is a crucial, although complex, aspect. A one-dimensional continuous deformable body is employed to model living bone tissue. The model incorporates the bone functional adaptation through an evolution law for an effective elastic modulus driven by mechanical feedback via a mechano-transduction diffusive signal. This type of information transduction, i.e., diffusion, is essential for the model to take into account remodeling in the case of minor injury or pathology-affected regions where there is no signal production. In addition, the model is able to also take into account potential tissue damage that may evolve over time according to a suitable evolution law. To illustrate the capability of the model to describe the mentioned complex coupled phenomena, numerical tests have been performed encompassing high external loads causing the onset of damage and cyclic loading for healing. The numerical simulations carried out via finite-element analyses yield insights into the mechanisms of bone remodeling, with the final goal of aiding clinical decisions and implant designs for bone health and repair. Overall, a key aspect of the paper is to highlight the feasibility of modeling the evolution in bone elasticity arising from the combined effect of damage and remodeling.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"993 - 1012"},"PeriodicalIF":1.9,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01308-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141096659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors 裂纹电介质中的静电体力及其对麦克斯韦应力张量的影响

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-05-24 DOI: 10.1007/s00161-024-01302-7

Alexander Schlosser, Lennart Behlen, Andreas Ricoeur

{"title":"Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors","authors":"Alexander Schlosser, Lennart Behlen, Andreas Ricoeur","doi":"10.1007/s00161-024-01302-7","DOIUrl":"10.1007/s00161-024-01302-7","url":null,"abstract":"<div><p>In solid mechanics, Maxwell stresses are known to be induced if a body is exposed to magnetic and, in the case of dielectrics, electric fields. Acting as tractions at outer or inner surfaces as well as volume forces, they are superimposed with tractions and stresses due to mechanical loads and provide a more or less significant contribution, depending on loading, material properties and geometric aspects. The Maxwell stress tensor, constituting the physical and mathematical basis, however, is controversially discussed to date. Several formulations are known, most of them having been suggested more than 100 years ago. Being equivalent in vacuum, they differ qualitatively just as quantitatively in solid or fluidic matter. In particular, the dissimilar effect of body forces, emanating from a choice of established Maxwell stress tensor approaches, on crack tip loading in dielectric solids is investigated theoretically in this paper. Due to the singularity of fields involved, their impact is basically non-negligible compared to external mechanical loading. The findings obtained indicate that fracture mechanics could be the basis of an experimental validation of Maxwell stress tensors.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"877 - 890"},"PeriodicalIF":1.9,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01302-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141096654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Equivalence of measures and stochastic equations of hydrodynamic theory of plasma 等离子体流体力学理论的等效度量和随机方程

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-05-22 DOI: 10.1007/s00161-024-01304-5

Artur V. Dmitrenko

{"title":"Equivalence of measures and stochastic equations of hydrodynamic theory of plasma","authors":"Artur V. Dmitrenko","doi":"10.1007/s00161-024-01304-5","DOIUrl":"10.1007/s00161-024-01304-5","url":null,"abstract":"<div><p>Stochastic equations of hydrodynamic theory of plasma are presened. The article shows that for transfer processes in liquid and gas, on the one hand, and in plasma, on the other hand, there exist sets of stochastic differential equations for substantial quantities based on the equality of measures between deterministic motion and random motion. It is shown that the application of these stochastic equations makes it possible to obtain new theoretical solutions for the occurrence of turbulence also for a plasma as a result of its heating in an external electric field instead of only for a classical gas, as it was proved previously. Theoretical solutions for the conductivity of turbulent plasma during its heating in an external electric field are considered. At a first time taking into account the turbulence parameters theoretical relations for the electron drift velocity and corresponding relations for electron mobility, for the frequency of electron collisions, and for the Coulomb integral are obtained. All theoretical relations are applied to calculate the conductivity during the turbulent heating of plasma in an electric field. Here experiments with hydrogen plasma are being considered. The theoretical explanation of the cause for the existence of a constant conductivity in the field of strength <span>(E = 0.6-19)</span> V/cm and its fall at <span>(19<E<100)</span> V/cm is given. The calculated dependences of plasma conductivity are in satisfactory agreement with experimental data at the electric-field strength in the turbulent region <span>(E = 0.6-100)</span> V/cm and in the region <span>(E < 0.6)</span> V/cm.The equation for the critical electric-field strength is presented.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"911 - 934"},"PeriodicalIF":1.9,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141085401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamic large strain formulation for nematic liquid crystal elastomers 向列液晶弹性体的动态大应变配方

IF 1.9 4区工程技术

Continuum Mechanics and Thermodynamics Pub Date : 2024-05-18 DOI: 10.1007/s00161-024-01307-2

Francesca Concas, Michael Groß

{"title":"Dynamic large strain formulation for nematic liquid crystal elastomers","authors":"Francesca Concas, Michael Groß","doi":"10.1007/s00161-024-01307-2","DOIUrl":"10.1007/s00161-024-01307-2","url":null,"abstract":"<div><p>Liquid crystal elastomers (LCEs) are a class of materials which exhibit an anisotropic behavior in their nematic state due to the main orientation of their rod-like molecules called mesogens. The reorientation of mesogens leads to the well-known actuation properties of LCEs, i.e. exceptionally large deformations as a consequence of particular external stimuli, such as temperature increase. Another key feature of nematic LCEs is the capability to undergo deformation by constant stresses while being stretched in a direction perpendicular to the orientation of mesogens. During this plateau stage, the mesogens rotate towards the stretching direction. Such characteristic is defined as semisoft elastic response of nematic LCEs. We aim at modeling the semisoft behavior in a dynamic finite element method based on a variational-based mixed finite element formulation. The reorientation process of the rigid mesogens relative to the continuum rotation is introduced by micropolar drilling degrees of freedom. Responsible for the above-mentioned characteristics is an appropriate free energy function. Starting from an isothermal free energy function based on the small strain theory, we aim to widen it into the framework of large strains by identifying tensor invariants. In this work, we analyze the isothermal influence of the tensor invariants on the mechanical response of the finite element formulation and show that its space-time discretization preserves mechanical balance laws in the discrete setting.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"36 4","pages":"969 - 992"},"PeriodicalIF":1.9,"publicationDate":"2024-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01307-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140954615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0